Simultaneous appearance of written language and common man

Poorly. It is not.There is a thread that has been dusted off just for you to discuss your problems with C14 dating. Several of us have posted good information there for your perusal. See you there?

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Religious belief does not constitute scientific evidence, nor does it convey scientific knowledge.

Great, archaeologists can now look at soils of this precise age and find evidence of the flood!Problem is, we've done that. There is no such evidence. Instead we have a continuous record of soil development in many areas that precludes such a flood. (In a few areas soil of that age has been completely removed or modified by erosion.)We also have a fine record of continuity of fauna and flora, human cultures, and human DNA from before to after your date. There is no interruption, such as would be caused by a flood, with subsequent replacement of other fauna and flora, human cultures, and human DNA. Rather there is continuity as if the flood never happened.Hmmmmm.

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Religious belief does not constitute scientific evidence, nor does it convey scientific knowledge.

I'm not an expert in that field, my area is the western US.But, dating of tablets can be done in two ways: 1) from dates contained within the tablets, and 2) from the context in which the tablets was acquired. They may also be able to do thermoluminescence or other dating on the tablets themselves.But you are correct, the objections to and disbelief of inconvenient bits of science is a characteristic of creation "science" rather than real science.

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Religious belief does not constitute scientific evidence, nor does it convey scientific knowledge.

Right, in excavations stratigraphic position is important. Once you date the layers you can do quite a bit of relative dating from position alone.But in some cases you get a single-component site with everything from a narrow time period. Grave lots are an extreme example of this. Ghost towns in the American west are another example: everything started and ended in a relatively short time. This lets you get relative dates on both the individual items and the assemblages of items. That information can then be extrapolated to more complex or more disturbed sites.I assume they are using all of these methods in the Near East.

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Religious belief does not constitute scientific evidence, nor does it convey scientific knowledge.